What is the Greatest Common Factor of 67380 and 67390?

Greatest common factor (GCF) of 67380 and 67390 is 10.

GCF(67380,67390) = 10

We will now calculate the prime factors of 67380 and 67390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67380 and 67390.

How to find the GCF of 67380 and 67390?

We will first find the prime factorization of 67380 and 67390. After we will calculate the factors of 67380 and 67390 and find the biggest common factor number .

Step-1: Prime Factorization of 67380

Prime factors of 67380 are 2, 3, 5, 1123. Prime factorization of 67380 in exponential form is:

67380 = 2² × 3¹ × 5¹ × 1123¹

Step-2: Prime Factorization of 67390

Prime factors of 67390 are 2, 5, 23, 293. Prime factorization of 67390 in exponential form is:

67390 = 2¹ × 5¹ × 23¹ × 293¹

Step-3: Factors of 67380

List of positive integer factors of 67380 that divides 67380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1123, 2246, 3369, 4492, 5615, 6738, 11230, 13476, 16845, 22460, 33690

Step-4: Factors of 67390

List of positive integer factors of 67390 that divides 67380 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 293, 586, 1465, 2930, 6739, 13478, 33695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67380 and 67390. The biggest common factor number is the GCF number.
So the greatest common factor 67380 and 67390 is 10.

Also check out the Least Common Multiple of 67380 and 67390